Operator Theory A Comprehensive Course in Analysis
Alabama A&M University
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A Comprehensive Course in Analysis algebra, geometry/topology, and analysis Parts (1 2A 2B 3 4)
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This five-volume series began and, to some extent, remains a set of texts
for a basic graduate analysis course. In part it reflects Caltech’s three-termsper-year schedule and the actual courses I’ve taught in the past. Much of the
contents of Parts 1 and 2 (Part 2 is in two volumes, Part 2A and Part 2B) are
common to virtually all such courses: poi
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Operator Theory A Comprehensive Course in Analysis, Part 4 Barry Simon
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Reed–Simon2 starts with “Mathematics has its roots in numerology, geometry, and physics.” This puts into context the division of mathematics into 
algebra, geometry/topology, and analysis. There are, of course, other areas of mathematics, and a division between parts of mathematics can be 
artificial. But almost universally, we require our graduate students to take 
courses in these three areas.
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